Answer
$\lim\limits_{x \to -\pi}\sqrt {x+4}cos(x+\pi) = \sqrt {4-\pi}$
Work Step by Step
$\lim\limits_{x \to -\pi}\sqrt (x+4)cos(x+\pi) = \lim\limits_{x \to -\pi}\sqrt (x+4) . \lim\limits_{x \to -\pi}cos(x+\pi) = \sqrt (-\pi + 4)(1) = \sqrt (-\pi + 4)$
